Which of the following are subspaces of the vector space of n n matrices M nn
Question:
Which of the following are subspaces of the vector space of n × n matrices Mn×n? The set of all
(a) Regular matrices;
(b) Nonsingular matrices;
(c) Singular matrices;
(d) Lower triangular matrices;
(e) Lower unitriangular matrices;
(f) Diagonal matrices;
(g) Symmetric matrices;
(h) Skew-symmetric matrices.
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a Regular matrices are not a subspace of Mnn because the zero matrix which is a regular matrix is no...View the full answer
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